A survey on p-ary and generalized bent functions
W Meidl - Cryptography and Communications, 2022 - Springer
Boolean bent functions have been introduced by Rothaus in 1966, bent functions in odd
characteristic were first considered in 1985 by Kumar, Scholtz, and Welch. Two books on …
characteristic were first considered in 1985 by Kumar, Scholtz, and Welch. Two books on …
A family of optimal ternary cyclic codes with minimum distance five and their duals
D Wang, X Cao - Cryptography and Communications, 2022 - Springer
As a subclass of linear codes, cyclic codes have important applications in consumer
electronics, data storage systems and communication systems. In this paper, a new family of …
electronics, data storage systems and communication systems. In this paper, a new family of …
An Open Problem About Monomial Bent Functions
H Hu, B Wang, X Xie, Y Luo - IEEE Transactions on Information …, 2023 - ieeexplore.ieee.org
In 2018, Pott et al. investigated vectorial functions with maximal number of bent components.
They found one class of binomial functions attaining the upper bound. They also proposed …
They found one class of binomial functions attaining the upper bound. They also proposed …
A survey on bent functions and their duals
Weaklyregularbentfunctionsfrom𝔽n p to𝔽p havethepropertythattheirdual is again a bent
function. In particular, the dual of a Boolean bent function is bent. This is in general not true …
function. In particular, the dual of a Boolean bent function is bent. This is in general not true …
New classes of ternary bent functions from the Coulter-Matthews bent functions
H Hu, X Yang, S Tang - IEEE Transactions on Information …, 2018 - ieeexplore.ieee.org
It has been an active research issue for many years to construct new bent functions. Fork
odd with gcd (n, k)= 1 and a∈ F 3n*, the function f (x)= Tr 1 n (ax ((3 k+ 1)/2)) is weakly …
odd with gcd (n, k)= 1 and a∈ F 3n*, the function f (x)= Tr 1 n (ax ((3 k+ 1)/2)) is weakly …
Two problems about monomial bent functions
H Hu, B Wang, X Xie, Y Luo - arXiv preprint arXiv:2102.12304, 2021 - arxiv.org
In 2008, Langevin and Leander determined the dual function of three classes of monomial
bent functions with the help of Stickelberger's theorem: Dillon, Gold and Kasami. In their …
bent functions with the help of Stickelberger's theorem: Dillon, Gold and Kasami. In their …
On Some Exponential Sums Related to the Coulter's Polynomial
On Some Exponential Sums Related to the Coulter’s Polynomial Page 1 arXiv:1707.09708v1
[cs.CR] 31 Jul 2017 1 On Some Exponential Sums Related to the Coulter’s Polynomial …
[cs.CR] 31 Jul 2017 1 On Some Exponential Sums Related to the Coulter’s Polynomial …
New Classes of Ternary Bent Functions from the Coulter-Matthews Bent Functions
H Hu, X Yang, S Tang - arXiv preprint arXiv:1707.04783, 2017 - arxiv.org
It has been an active research issue for many years to construct new bent functions. For $ k
$ odd with $\gcd (n, k)= 1$, and $ a\in\mathbb {F} _ {3^ n}^{*} $, the function $ f (x)= Tr …
$ odd with $\gcd (n, k)= 1$, and $ a\in\mathbb {F} _ {3^ n}^{*} $, the function $ f (x)= Tr …